SENSITIVITY OF THE STABLE DISCRETE-TIME LYAPUNOV EQUATION

被引：41

作者：

GAHINET, PM

LAUB, AJ

KENNEY, CS

HEWER, GA

机构：

[1] UNIV CALIF SANTA BARBARA,DEPT ELECT & COMP ENGN,SANTA BARBARA,CA 93106

[2] USN,CTR WEAPONS,CHINA LAKE,CA 93555

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1990年 / 35卷 / 11期

关键词：

D O I：

10.1109/9.59806

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The sensitivity of the stable discrete-time Lyapunov equation is analyzed through the spectral norm of the inverse Lyapunov operator. This leads to a directly computable easy-to-interpret sensitivity measure, and also provides insight into the connection between sensitivity, stability radius, and conditioning of the eigenproblem of the open-loop state matrix. These results are an extension, to the discrete-time case, of analogous results for the continuous-time Lyapunov equation. © 1990 IEEE

引用

页码：1209 / 1217

页数：9

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